Multidimensional empirical mode decomposition: Difference between revisions

Content deleted Content added
Line 92:
For example, the matrix expression for the result of a 3D decomposition is TCRX(m,n,q,i,j,k) where T denotes the depth (or time) decomposition. Based on the comparable minimal scale combination principle as applied in the 2D case, the number of complete 3D components will be the smallest value of ''m'', ''n'', and ''q''. The general equation for deriving 3D components is
: <math> C3D_L = \sum_{m=l}^m \sum_{n=\ell}^ntcrx_{m,n,\ell} + \sum_{m=\ell+1}^m \sum_{q=\ell+1}^n tcrx_{m,\ell,q} + \sum_{n=\ell+1}^m \sum_{q=\ell+1}^m tcrx_{\ell,n,q}</math>&nbsp;&nbsp;<ref name=":5" />
where {{\ell}} denotes the level of the C3D i.e.
 
: <math>